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Ber [7]
3 years ago
15

Given a sphere with a radius of 2 cm, find its volume to the nearest whole

Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies V=\cfrac{4\pi (2)^3}{3}\implies V=\cfrac{32\pi }{3} \\\\\\ V\approx 33.51032163829112\implies \stackrel{\textit{rounded up}}{V=34}

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A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing<br><br>​
olya-2409 [2.1K]

Answer:

5 cm

Step-by-step explanation:

The length of the drawing will be 450 / 90 = 5 cm.

6 0
3 years ago
when the sum of an unknown number z and twenty two is divided by the same unknown number,the quotient is twelve what is the unkn
Anarel [89]

The unknown number . . . . .  (z)

The sum of the unknown number and 22 . . . . .  (z + 22)

The sum of the unknown number and 22
divided by the same unknown number . . . . . . .  (z + 22) / z

You said that quotient is 12.              (z + 22) / z  =  12

Multiply each side by 'z' :                  (z + 22)       =  12 z

Subtract 'z' from each side:                      22        =  11 z

Divide each side by  11 :                           2         =      z .
   
6 0
3 years ago
Cara has 25$ to buy dry pet food and treats for the animal shelter. A pound of dog food cost $2 and treats are $1 apiece. If she
alina1380 [7]
Let x be the number of treats bought
Let y be the pounds of food bought

25= 2y+x

Given that she has buys 9 pounds of dog food:

25= 2(9)+x
25=18 +x
25-18 =x
7=x

With the money she has left over, she can buy 7 treats.

Hope I helped :)
5 0
3 years ago
a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th
Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

<u>A positive number is 7 times another number:</u>

  • a = 7b

<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 7 and 1

3 0
3 years ago
How to factor 3n+5n+2
AlladinOne [14]

Answer:

8n+2

Step-by-step explanation:

You add 3n to 5n and that gets you 8n.

The 2 is just alone.

5 0
3 years ago
Read 2 more answers
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